# Holographic entanglement entropy under the minimal geometric deformation and extensions

## TL;DR

This paper investigates how holographic entanglement entropy is affected by minimal geometric deformation and its extensions within the AdS/CFT framework, focusing on corrections for Schwarzschild and Reissner--Nordstr"om solutions due to brane tension.

## Contribution

It introduces a detailed analysis of HEE corrections under MGD and EMGD, extending previous models to include finite brane tension effects.

## Key findings

- HEE corrections for Schwarzschild and Reissner--Nordstr"om solutions are derived.
- Finite fluid brane tension influences the holographic entanglement entropy.
- Extensions of MGD provide new insights into holographic entanglement structure.

## Abstract

The holographic entanglement entropy (HEE) of the minimal geometrical deformation (MGD) procedure and extensions (EMGD), is scrutinized within the membrane paradigm of AdS/CFT. The HEE corrections of the Schwarzschild and Reissner--Nordstr\"om solutions, due to a finite fluid brane tension, are then derived and discussed in the context of the MGD and the EMGD.